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Simplifying 9(x + -5) = 1 + 8x Reorder the terms: 9(-5 + x) = 1 + 8x (-5 * 9 + x * 9) = 1 + 8x (-45 + 9x) = 1 + 8x Solving -45 + 9x = 1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -45 + 9x + -8x = 1 + 8x + -8x Combine like terms: 9x + -8x = 1x -45 + 1x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 -45 + 1x = 1 + 0 -45 + 1x = 1 Add '45' to each side of the equation. -45 + 45 + 1x = 1 + 45 Combine like terms: -45 + 45 = 0 0 + 1x = 1 + 45 1x = 1 + 45 Combine like terms: 1 + 45 = 46 1x = 46 Divide each side by '1'. x = 46 Simplifying x = 46
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